Fixed Point
(fraction representation)
Fixed point states how many decimal places before and after the decimal point.
For example
64.598
06.000
00.001
The numbers to the left of the decimal point are powers of 10
ie 100,101,102,103 etc
The numbers to the right of the decimal point are negative powers of 10
ie 10-1,10-2,10-3
etc These are fractions of 10.
Fixed point for
binary numbers state how many bits are after and before the binary point.
For example
10 ● 110010
|
1 |
0 |
● |
1 |
1 |
0 |
0 |
1 |
0 |
|
21 |
20 |
|
2-1 |
2-2 |
2-3 |
2-4 |
2-5 |
2-6 |
10.110010
= 1x2 + 0x1 +
1x1/2 + 1x1/4 + 0x1/8 + 0x1/16 + 1x1/32 + 0x1/64
= 2 + ½ + ¼ + 1/32
= 2 25/32